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Finding the Third Proportional to 242,733 and 376,880

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Solution

The third proportional to 242,733 and 376,880 is: 585,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,733 : 376,880 = 376,880 : x
  2. Step 2: Convert to fraction form
    242,733/376,880 = 376,880/x
  3. Step 3: Cross multiply
    242,733x = 376,880 × 376,880
  4. Step 4: Simplify right side
    242,733x = 142,038,534,400
  5. Step 5: Solve for x
    x = 142,038,534,400/242,733
  6. Step 6: Final answer
    x = 585,163.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.